%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ARI612_1 : TPTP v9.3.1. Released v5.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:34:58 AM UTC 2026
% Result : Theorem 0.24s 0.32s
% Output : Refutation 0.24s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : ARI612_1 : TPTP v9.3.1. Released v5.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.23 % Computer : n006.cluster.edu
% 0.10/0.23 % Model : x86_64 x86_64
% 0.10/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.23 % Memory : 8046.5625MB
% 0.10/0.23 % OS : Linux 6.8.0-71-generic
% 0.10/0.23 % CPULimit : 300
% 0.10/0.23 % WCLimit : 300
% 0.10/0.23 % DateTime : Mon Sep 28 20:53:25 UTC 2026
% 0.10/0.23 % CPUTime :
% 0.10/0.23 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.27 Running first-order model finding
% 0.10/0.27 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.24/0.32 % (184725)Will run a generic schedule for satisfiability detection.
% 0.24/0.32 % (184731)% WARNING: option uhcvi not known.
% 0.24/0.32 % (184735)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2803684395:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.24/0.32 % (184734)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2824856636:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.24/0.32 % (184730)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2217741430_2999 on theBenchmark for (2999ds/0Mi)
% 0.24/0.32 % (184732)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3502937028:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.32 % (184731)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=281520948:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.24/0.32 % (184730)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.24/0.32 % (184730)Terminated due to inappropriate strategy.
% 0.24/0.32 % (184730)------------------------------
% 0.24/0.32 % (184730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (184730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (184730)CaDiCaL version: 2.1.3
% 0.24/0.32 % (184730)Termination reason: Inappropriate
% 0.24/0.32 % (184730)Time elapsed: 0.001 s
% 0.24/0.32 % (184730)Peak memory usage: 10 MB
% 0.24/0.32 % (184733)dis+10_1_sil=32000:sp=arity:random_seed=3766067865:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.24/0.32 % (184730)------------------------------
% 0.24/0.32 % (184730)------------------------------
% 0.24/0.32 % (184734) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-184725-184734"...
% 0.24/0.32 % (184734)...printing done.
% 0.24/0.32 % (184734)Refutation found. Thanks to Tanya!
% 0.24/0.32 % SZS status Theorem for theBenchmark
% 0.24/0.32 % SZS output start Proof for theBenchmark
% 0.24/0.32 tff(func_def_8, type, sK0: $int).
% 0.24/0.32 tff(pred_def_1, type, p: $int > $o).
% 0.24/0.32 tff(pred_def_2, type, q: $int > $o).
% 0.24/0.32 tff(f1,conjecture,(
% 0.24/0.32 (! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X0 : $int] : (($less(8,X0) & $less(X0,12)) <=> q(X0))) => ! [X0 : $int] : (q(X0) => p(X0))),
% 0.24/0.32 file('/export/starexec/sandbox2/benchmark/theBenchmark.p',interv_8_12_subset_5_15)).
% 0.24/0.32 tff(f2,negated_conjecture,(
% 0.24/0.32 ~((! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X0 : $int] : (($less(8,X0) & $less(X0,12)) <=> q(X0))) => ! [X0 : $int] : (q(X0) => p(X0)))),
% 0.24/0.32 inference(negated_conjecture,[status(cth)],[f1])).
% 0.24/0.32 tff(f9,definition,(
% 0.24/0.32 ( ! [X2 : $int,X0 : $int,X1 : $int] : (~$less(X0,X1) | ~$less(X1,X2) | $less(X0,X2)) )),
% 0.24/0.32 introduced(theory,[tha_transitivity])).
% 0.24/0.32 tff(f15,plain,(
% 0.24/0.32 ~((! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X1 : $int] : (($less(8,X1) & $less(X1,12)) <=> q(X1))) => ! [X2 : $int] : (q(X2) => p(X2)))),
% 0.24/0.32 inference(rectify,[],[f2])).
% 0.24/0.32 tff(f16,plain,(
% 0.24/0.32 ? [X2 : $int] : (~p(X2) & q(X2)) & (! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X1 : $int] : (($less(8,X1) & $less(X1,12)) <=> q(X1)))),
% 0.24/0.32 inference(ennf_transformation,[],[f15])).
% 0.24/0.32 tff(f17,plain,(
% 0.24/0.32 ? [X2 : $int] : (~p(X2) & q(X2)) & ! [X0 : $int] : (($less(5,X0) & $less(X0,15)) <=> p(X0)) & ! [X1 : $int] : (($less(8,X1) & $less(X1,12)) <=> q(X1))),
% 0.24/0.32 inference(flattening,[],[f16])).
% 0.24/0.32 tff(f18,plain,(
% 0.24/0.32 ( ! [X0 : $int] : (p(X0) | ~$less(X0,15) | ~$less(5,X0)) )),
% 0.24/0.32 inference(cnf_transformation,[],[f17])).
% 0.24/0.32 tff(f22,plain,(
% 0.24/0.32 ( ! [X1 : $int] : (~q(X1) | $less(X1,12)) )),
% 0.24/0.32 inference(cnf_transformation,[],[f17])).
% 0.24/0.32 tff(f23,plain,(
% 0.24/0.32 ( ! [X1 : $int] : (~q(X1) | $less(8,X1)) )),
% 0.24/0.32 inference(cnf_transformation,[],[f17])).
% 0.24/0.32 tff(f24,plain,(
% 0.24/0.32 q(sK0)),
% 0.24/0.32 inference(cnf_transformation,[],[f17])).
% 0.24/0.32 tff(f25,plain,(
% 0.24/0.32 ~p(sK0)),
% 0.24/0.32 inference(cnf_transformation,[],[f17])).
% 0.24/0.32 tff(f26,plain,(
% 0.24/0.32 $less(sK0,12)),
% 0.24/0.32 inference(resolution,[],[f22,f24])).
% 0.24/0.32 tff(f27,plain,(
% 0.24/0.32 $less(8,sK0)),
% 0.24/0.32 inference(resolution,[],[f23,f24])).
% 0.24/0.32 tff(f28,plain,(
% 0.24/0.32 ~$less(sK0,15) | ~$less(5,sK0)),
% 0.24/0.32 inference(resolution,[],[f18,f25])).
% 0.24/0.32 tff(f30,definition,(
% 0.24/0.32 spl1_1 <=> $less(5,sK0)),
% 0.24/0.32 introduced(definition,[new_symbols(definition,[spl1_1])],[avatar_definition])).
% 0.24/0.32 tff(f32,plain,(
% 0.24/0.32 ~$less(5,sK0) | spl1_1),
% 0.24/0.32 inference(avatar_component_clause,[],[f30])).
% 0.24/0.32 tff(f34,definition,(
% 0.24/0.32 spl1_2 <=> $less(sK0,15)),
% 0.24/0.32 introduced(definition,[new_symbols(definition,[spl1_2])],[avatar_definition])).
% 0.24/0.32 tff(f36,plain,(
% 0.24/0.32 ~$less(sK0,15) | spl1_2),
% 0.24/0.32 inference(avatar_component_clause,[],[f34])).
% 0.24/0.32 tff(f37,plain,(
% 0.24/0.32 ~spl1_1 | ~spl1_2),
% 0.24/0.32 inference(avatar_split_clause,[],[f28,f34,f30])).
% 0.24/0.32 tff(f58,plain,(
% 0.24/0.32 ( ! [X0 : $int] : ($less(sK0,X0) | ~$less(12,X0)) )),
% 0.24/0.32 inference(resolution,[],[f9,f26])).
% 0.24/0.32 tff(f64,plain,(
% 0.24/0.32 ( ! [X0 : $int] : ($less(X0,sK0) | ~$less(X0,8)) )),
% 0.24/0.32 inference(resolution,[],[f9,f27])).
% 0.24/0.32 tff(f123,plain,(
% 0.24/0.32 ~$less(5,8) | spl1_1),
% 0.24/0.32 inference(resolution,[],[f64,f32])).
% 0.24/0.32 tff(f125,plain,(
% 0.24/0.32 $false | spl1_1),
% 0.24/0.32 inference(evaluation,[],[f123])).
% 0.24/0.32 tff(f126,plain,(
% 0.24/0.32 spl1_1),
% 0.24/0.32 inference(avatar_contradiction_clause,[],[f125])).
% 0.24/0.32 tff(f151,plain,(
% 0.24/0.32 ~$less(12,15) | spl1_2),
% 0.24/0.32 inference(resolution,[],[f36,f58])).
% 0.24/0.32 tff(f155,plain,(
% 0.24/0.32 $false | spl1_2),
% 0.24/0.32 inference(evaluation,[],[f151])).
% 0.24/0.32 tff(f156,plain,(
% 0.24/0.32 spl1_2),
% 0.24/0.32 inference(avatar_contradiction_clause,[],[f155])).
% 0.24/0.32 cnf(s1, plain, ~spl1_1 | ~spl1_2, inference(sat_conversion,[],[f37])).
% 0.24/0.32 cnf(s2, plain, spl1_1, inference(sat_conversion,[],[f126])).
% 0.24/0.32 cnf(s3, plain, spl1_2, inference(sat_conversion,[],[f156])).
% 0.24/0.32 cnf(s6, plain, $false, inference(rat,[],[s1,s3,s2])).
% 0.24/0.32 tff(f167,plain,(
% 0.24/0.32 $false),
% 0.24/0.32 inference(avatar_sat_refutation,[],[s6])).
% 0.24/0.32 % SZS output end Proof for theBenchmark
% 0.24/0.32 % (184734)------------------------------
% 0.24/0.32 % (184734)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32 % (184734)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32 % (184734)CaDiCaL version: 2.1.3
% 0.24/0.32 % (184734)Termination reason: Refutation
% 0.24/0.32 % (184734)Time elapsed: 0.007 s
% 0.24/0.32 % (184734)Peak memory usage: 13 MB
% 0.24/0.32 % (184734)Instructions burned: 6 (million)
% 0.24/0.32 % (184725)Success in time 0.041 s
% 0.24/0.32 % Vampire exiting
%------------------------------------------------------------------------------